Finding the Third Proportional to 25,792 and 56,524

Step by Step Solution

1. Step 1: Write the proportion equation
   25,792 : 56,524 = 56,524 : x
2. Step 2: Convert to fraction form
   25,792/56,524 = 56,524/x
3. Step 3: Cross multiply
   25,792x = 56,524 × 56,524
4. Step 4: Simplify right side
   25,792x = 3,194,962,576
5. Step 5: Solve for x
   x = 3,194,962,576/25,792
6. Step 6: Final answer
   x = 123,874.17